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116631504 = 243211292539
BaseRepresentation
bin1101111001110…
…10011111010000
322010110111100100
412330322133100
5214324202004
615323452400
72614231353
oct674723720
9263414310
10116631504
115a920a80
1233087100
131b217932
14116c029a
15a38c739
hex6f3a7d0

116631504 has 120 divisors (see below), whose sum is σ = 368503200. Its totient is φ = 34110720.

The previous prime is 116631503. The next prime is 116631521. The reversal of 116631504 is 405136611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116631503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44667 + ... + 47205.

It is an arithmetic number, because the mean of its divisors is an integer number (3070860).

Almost surely, 2116631504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116631504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184251600).

116631504 is an abundant number, since it is smaller than the sum of its proper divisors (251871696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116631504 is a wasteful number, since it uses less digits than its factorization.

116631504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 116631504 is about 10799.6066595039. The cubic root of 116631504 is about 488.5833076887.

The spelling of 116631504 in words is "one hundred sixteen million, six hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 696 792 957 1044 1276 1392 1584 1914 2088 2539 2552 2871 3828 4176 5078 5104 5742 7617 7656 10156 11484 15234 15312 20312 22851 22968 27929 30468 40624 45702 45936 55858 60936 73631 83787 91404 111716 121872 147262 167574 182808 220893 223432 251361 294524 335148 365616 441786 446864 502722 589048 662679 670296 809941 883572 1005444 1178096 1325358 1340592 1619882 1767144 2010888 2429823 2650716 3239764 3534288 4021776 4859646 5301432 6479528 7289469 9719292 10602864 12959056 14578938 19438584 29157876 38877168 58315752 116631504